Nonparametric Families: Densities and Hazard Rates

  • Albert W. Marshall
  • Ingram Olkin
Part of the Springer Series in Statistics book series (SSS)


A number of nonparametric families of life distributions have been studied, particularly in the context of reliability theory; the most important of these families are discussed in this chapter. Because the families are defined by properties that have physically meaningful interpretations, an assumption that a distribution lies in a particular family sometimes can be justified by a physical understanding of the failure mechanism. For these nonparametric families, many statistical procedures are available that can be regarded as standing between parametric and standard distribution-free analyses.


Exponential Distribution Hazard Rate Survival Function Life Distribution Reverse Hazard Rate 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Albert W. Marshall
    • 1
  • Ingram Olkin
    • 2
  1. 1.Department of StatisticsUniversity of British ColumbiaVancouverCanada
  2. 2.Department of StatisticsStanford UniversityStanfordUSA

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